Find the inductive reactance per mile of a single-phase overhead transmission line operating at 60 Hz, given the conductors to be Patridge and the spacing between centers to be 20 ft

The inductive reactance is 0.8281 Ω/mile

Explanation:

Given;

frequency, f = 60 Hz

space between the center, GMD = 20 ft

The inductive reactance per mile is calculated as;

Where;

GMR is geometric mean radius (obtained from manufacturer's table)

GMD is geometric mean distance

For Partridge conductor, GMR = 0.0217 ft;

Xa = 2.022 x 10⁻³ x 60 x ln (1 / 0.0217)

Xa = 0.4647 Ω/mile

= 2.022 x 10⁻³ x f x ln GMD

= 2.022 x 10⁻³ x 60 x ln(20)

= 0.3634 Ω/mile

Inductive reactance;

Therefore, the inductive reactance is 0.8281 Ω/mile

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